Motion In A Plane

Question

Wired Faculty App

A projectile is thrown in the upward direction making an angle of 60° with the horizontal direction with a velocity of 147 ms^-1 Then the time after which its inclination with the horizontal is 45°, is

15 s

10.98 s

5.49 s

2.745 s

Solution

5.49 s

At the two points of the trajectory during projection, the horizontal component of the velocity is the same.

The horizontal component of velocity at angle 60^o = Horizontal component of velocity at 45^o

⇒ u cos 60^o = v sin 45^o

$147 \times \frac{1}{2} = ν \times \frac{1}{\sqrt{2}} v = \frac{147}{\sqrt{2}} m / s$

Vertical component of u = u sin 60^o

$= \frac{147 \sqrt{3}}{2} m$

Vertical component of v = v sin 45^o

$\frac{147}{\sqrt{2}} \times \frac{1}{\sqrt{2}} = \frac{147}{2} m$

but v_y = u_y + $α t$

$∴ \frac{147}{2} = \frac{147 \sqrt{3}}{2} - 9.8 t \Rightarrow 9.8 t = \frac{147}{2} (\sqrt{3} - 1)$

t = 5.49 s

Some More Questions From Motion in A Plane Chapter

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

For Daily Free Study Material Join wiredfaculty

Motion In A Plane

A projectile is thrown in the upward direction making an angle of 60° with the horizontal direction with a velocity of 147 ms^-1 Then the time after which its inclination with the horizontal is 45°, is

15 s

10.98 s

5.49 s

2.745 s

Some More Questions From Motion in A Plane Chapter

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Give one example of tensor.

What is module of vector?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Motion In A Plane

A projectile is thrown in the upward direction making an angle of 60° with the horizontal direction with a velocity of 147 ms-1 Then the time after which its inclination with the horizontal is 45°, is 15 s 10.98 s 5.49 s 2.745 s

Some More Questions From Motion in A Plane Chapter

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list: force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Give one example of tensor.

What is module of vector?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A projectile is thrown in the upward direction making an angle of 60° with the horizontal direction with a velocity of 147 ms^-1 Then the time after which its inclination with the horizontal is 45°, is

15 s

10.98 s

5.49 s

2.745 s

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.